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16 Jul 2021, 23:03
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We all know that if a sequence is in AP then Mean = Median.
My doubt is its opposite is also true?
That is, if in a pattern/sequence Mean = Median then that pattern/sequence is in AP?
My doubt is its opposite is also true?
That is, if in a pattern/sequence Mean = Median then that pattern/sequence is in AP?
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bansalgaurav
Joined: 26 Mar 2021
Last visit: 20 Nov 2021
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Concentration: General Management, Strategy
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GMAT 1: 640 Q50 V25
16 Jul 2021, 23:21
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Vijay1998
No the opposite is not true. check the case::
S = {5 , 15,15, 25}. Mean = Median =15.
The data points in this set are not in AP as the difference between 2nd and 3rd data points is not equal to the difference between the other two consecutive numbers.
ramlala
Joined: 22 Aug 2020
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17 Jul 2021, 19:41
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Vijay1998
Hi Vijay1998
We can not say that if in a pattern/sequence Mean = Median than that pattern/sequence is in AP
bansalgaurav has explained directly with example
